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Finding the Fourth Proportional to 4,766.50, 7,151.91 and 2,300.86

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Solution

The fourth proportional to 4,766.50, 7,151.91 and 2,300.86 is: 3,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.50 : 7,151.91 = 2,300.86 : x
  2. Step 2: Convert to fraction form
    4,766.50/7,151.91 = 2,300.86/x
  3. Step 3: Cross multiply
    4,766.50x = 7,151.91 × 2,300.86
  4. Step 4: Simplify right side
    4,766.50x = 16,455,543.64
  5. Step 5: Solve for x
    x = 16,455,543.64/4,766.50
  6. Step 6: Final answer
    x = 3,452.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.